100468586430 has 96 divisors (see below), whose sum is σ = 272654351424. Its totient is φ = 25619371008.

The previous prime is 100468586417. The next prime is 100468586443. The reversal of 100468586430 is 34685864001.

100468586430 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 68 + 586 + 4 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100468586417) and next prime (100468586443).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12948112 + ... + 12955868.

It is an arithmetic number, because the mean of its divisors is an integer number (2840149494).

Almost surely, 2^100468586430 is an apocalyptic number.

100468586430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100468586430 is an abundant number, since it is smaller than the sum of its proper divisors (172185764994).

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

100468586430 is a wasteful number, since it uses less digits than its factorization.

100468586430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14047 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 100468586430 in words is "one hundred billion, four hundred sixty-eight million, five hundred eighty-six thousand, four hundred thirty".