101261792 has 96 divisors (see below), whose sum is σ = 226709280. Its totient is φ = 44236800.

The previous prime is 101261791. The next prime is 101261819. The reversal of 101261792 is 297162101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101261791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002542 + ... + 1002642.

It is an arithmetic number, because the mean of its divisors is an integer number (2361555).

Almost surely, 2^101261792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101261792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113354640).

101261792 is an abundant number, since it is smaller than the sum of its proper divisors (125447488).

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

101261792 is a wasteful number, since it uses less digits than its factorization.

101261792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 101261792 is about 10062.8918308804. The cubic root of 101261792 is about 466.1029692577.

The spelling of 101261792 in words is "one hundred one million, two hundred sixty-one thousand, seven hundred ninety-two".