101468640 has 384 divisors, whose sum is σ = 414554112. Its totient is φ = 20275200.

The previous prime is 101468603. The next prime is 101468669. The reversal of 101468640 is 46864101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101468598 and 101468607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004590 + ... + 1004690.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 2^101468640 is an apocalyptic number.

101468640 is a gapful number since it is divisible by the number (10) 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 101468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056).

101468640 is an abundant number, since it is smaller than the sum of its proper divisors (313085472).

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

101468640 is a wasteful number, since it uses less digits than its factorization.

101468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 101468640 is about 10073.1643489025. The cubic root of 101468640 is about 466.4201237410.

The spelling of 101468640 in words is "one hundred one million, four hundred sixty-eight thousand, six hundred forty".