106066100 has 36 divisors (see below), whose sum is σ = 263045664. Its totient is φ = 36365280.

The previous prime is 106066099. The next prime is 106066123. The reversal of 106066100 is 1660601.

It is a super-2 number, since 2×106066100² = 22500035138420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 75062 + ... + 76461.

It is an arithmetic number, because the mean of its divisors is an integer number (7306824).

Almost surely, 2^106066100 is an apocalyptic number.

106066100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106066100 is an abundant number, since it is smaller than the sum of its proper divisors (156979564).

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

106066100 is a wasteful number, since it uses less digits than its factorization.

106066100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151544 (or 151537 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106066100 is about 10298.8397404756. The cubic root of 106066100 is about 473.3607017612.

The spelling of 106066100 in words is "one hundred six million, sixty-six thousand, one hundred".