106051002038600 has 48 divisors (see below), whose sum is σ = 246614353282800. Its totient is φ = 42412525797440.

The previous prime is 106051002038593. The next prime is 106051002038623. The reversal of 106051002038600 is 6830200150601.

It is a happy number.

It is a super-2 number, since 2×106051002038600² (a number of 29 digits) contains 22 as substring.

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, 48138770 + ... + 50293569.

It is an arithmetic number, because the mean of its divisors is an integer number (5137799026725).

Almost surely, 2^{106051002038600} is an apocalyptic number.

106051002038600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106051002038600 is an abundant number, since it is smaller than the sum of its proper divisors (140563351244200).

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

106051002038600 is a wasteful number, since it uses less digits than its factorization.

106051002038600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98437742 (or 98437733 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 106051002038600 in words is "one hundred six trillion, fifty-one billion, two million, thirty-eight thousand, six hundred".