10632755100 has 288 divisors, whose sum is σ = 36157685760. Its totient is φ = 2385504000.

The previous prime is 10632755093. The next prime is 10632755117. The reversal of 10632755100 is 155723601.

It is a super-2 number, since 2×10632755100² (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 a congruent number.

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, 2350641 + ... + 2355159.

It is an arithmetic number, because the mean of its divisors is an integer number (125547520).

Almost surely, 2^10632755100 is an apocalyptic number.

10632755100 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 10632755100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18078842880).

10632755100 is an abundant number, since it is smaller than the sum of its proper divisors (25524930660).

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

10632755100 is a wasteful number, since it uses less digits than its factorization.

10632755100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 10632755100 in words is "ten billion, six hundred thirty-two million, seven hundred fifty-five thousand, one hundred".