106556156100 has 108 divisors (see below), whose sum is σ = 346364591664. Its totient is φ = 28414968480.

The previous prime is 106556156059. The next prime is 106556156141. The reversal of 106556156100 is 1651655601.

It is an interprime number because it is at equal distance from previous prime (106556156059) and next prime (106556156141).

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×106556156100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2168214 + ... + 2216813.

Almost surely, 2^106556156100 is an apocalyptic number.

106556156100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106556156100 is an abundant number, since it is smaller than the sum of its proper divisors (239808435564).

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

106556156100 is a wasteful number, since it uses less digits than its factorization.

106556156100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385056 (or 4385037 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106556156100 in words is "one hundred six billion, five hundred fifty-six million, one hundred fifty-six thousand, one hundred".