10351880100 has 54 divisors (see below), whose sum is σ = 32447395890. Its totient is φ = 2760501120.

The previous prime is 10351880087. The next prime is 10351880131. The reversal of 10351880100 is 108815301.

It can be written as a sum of positive squares in 3 ways, for example, as 113678244 + 10238201856 = 10662^2 + 101184^2 .

It is a super-2 number, since 2×10351880100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5750145 + ... + 5751944.

Almost surely, 2^10351880100 is an apocalyptic number.

10351880100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10351880100 is an abundant number, since it is smaller than the sum of its proper divisors (22095515790).

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

10351880100 is a wasteful number, since it uses less digits than its factorization.

10351880100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502109 (or 11502099 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 10351880100 in words is "ten billion, three hundred fifty-one million, eight hundred eighty thousand, one hundred".