100606616156000 has 96 divisors (see below), whose sum is σ = 251380125228960. Its totient is φ = 39560567616000.

The previous prime is 100606616155993. The next prime is 100606616156009. The reversal of 100606616156000 is 651616606001.

It is a happy number.

100606616156000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100606616156009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212913611 + ... + 213385610.

It is an arithmetic number, because the mean of its divisors is an integer number (2618542971135).

Almost surely, 2^{100606616156000} is an apocalyptic number.

100606616156000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100606616156000 is an abundant number, since it is smaller than the sum of its proper divisors (150773509072960).

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

100606616156000 is an equidigital number, since it uses as much as digits as its factorization.

100606616156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426299305 (or 426299287 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 100606616156000 in words is "one hundred trillion, six hundred six billion, six hundred sixteen million, one hundred fifty-six thousand".