101612448 has 192 divisors, whose sum is σ = 346187520. Its totient is φ = 28394496.

The previous prime is 101612429. The next prime is 101612479. The reversal of 101612448 is 844216101.

It is a happy number.

101612448 is a `hidden beast` number, since 1 + 0 + 1 + 612 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320386 + ... + 320702.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 2^101612448 is an apocalyptic number.

101612448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101612448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

101612448 is an abundant number, since it is smaller than the sum of its proper divisors (244575072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101612448 is a wasteful number, since it uses less digits than its factorization.

101612448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 101612448 is about 10080.2999955358. The cubic root of 101612448 is about 466.6403667718.

Adding to 101612448 its reverse (844216101), we get a palindrome (945828549).

The spelling of 101612448 in words is "one hundred one million, six hundred twelve thousand, four hundred forty-eight".