106165511100 has 108 divisors (see below), whose sum is σ = 363021739080. Its totient is φ = 25737091200.

The previous prime is 106165511083. The next prime is 106165511131. The reversal of 106165511100 is 1115561601.

106165511100 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 551 + 1 + 100 = 666.

It is a super-2 number, since 2×106165511100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 5351995 + ... + 5371794.

Almost surely, 2^106165511100 is an apocalyptic number.

106165511100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106165511100 is an abundant number, since it is smaller than the sum of its proper divisors (256856227980).

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

106165511100 is a wasteful number, since it uses less digits than its factorization.

106165511100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10723820 (or 10723810 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 106165511100 in words is "one hundred six billion, one hundred sixty-five million, five hundred eleven thousand, one hundred".