101025792 has 288 divisors, whose sum is σ = 357739200. Its totient is φ = 27869184.

The previous prime is 101025787. The next prime is 101025809. The reversal of 101025792 is 297520101.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483634 + ... + 3483662.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 2^101025792 is an apocalyptic number.

101025792 is a gapful number since it is divisible by the number (12) 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 101025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

101025792 is an abundant number, since it is smaller than the sum of its proper divisors (256713408).

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

101025792 is an frugal number, since it uses more digits than its factorization.

101025792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 101025792 is about 10051.1587391703. The cubic root of 101025792 is about 465.7405888551.

Adding to 101025792 its reverse (297520101), we get a palindrome (398545893).

The spelling of 101025792 in words is "one hundred one million, twenty-five thousand, seven hundred ninety-two".