10645364100 has 288 divisors, whose sum is σ = 36097689600. Its totient is φ = 2371968000.

The previous prime is 10645364033. The next prime is 10645364129. The reversal of 10645364100 is 146354601.

It is a super-2 number, since 2×10645364100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18708616 + ... + 18709184.

It is an arithmetic number, because the mean of its divisors is an integer number (125339200).

Almost surely, 2^10645364100 is an apocalyptic number.

10645364100 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 10645364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048844800).

10645364100 is an abundant number, since it is smaller than the sum of its proper divisors (25452325500).

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

10645364100 is a wasteful number, since it uses less digits than its factorization.

10645364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10645364100 in words is "ten billion, six hundred forty-five million, three hundred sixty-four thousand, one hundred".