100729692 has 108 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 27078912.

The previous prime is 100729679. The next prime is 100729703. The reversal of 100729692 is 296927001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28309 + ... + 31667.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^100729692 is an apocalyptic number.

100729692 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 100729692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

100729692 is an abundant number, since it is smaller than the sum of its proper divisors (212980068).

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

100729692 is a wasteful number, since it uses less digits than its factorization.

100729692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 100729692 is about 10036.4182854243. The cubic root of 100729692 is about 465.2851251681.

The spelling of 100729692 in words is "one hundred million, seven hundred twenty-nine thousand, six hundred ninety-two".