10729100 has 36 divisors (see below), whose sum is σ = 24040128. Its totient is φ = 4152000.

The previous prime is 10729093. The next prime is 10729123. The reversal of 10729100 is 192701.

10729100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10729100² = 230227173620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1370 + ... + 4830.

Almost surely, 2^10729100 is an apocalyptic number.

10729100 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 10729100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020064).

10729100 is an abundant number, since it is smaller than the sum of its proper divisors (13311028).

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

10729100 is a wasteful number, since it uses less digits than its factorization.

10729100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 10729100 is about 3275.5304913861. The cubic root of 10729100 is about 220.5571278836.

The spelling of 10729100 in words is "ten million, seven hundred twenty-nine thousand, one hundred".