106018900 has 36 divisors (see below), whose sum is σ = 247761052. Its totient is φ = 39144960.

The previous prime is 106018873. The next prime is 106018901. The reversal of 106018900 is 9810601.

It can be written as a sum of positive squares in 6 ways, for example, as 6697744 + 99321156 = 2588^2 + 9966^2 .

It is a super-2 number, since 2×106018900² = 22480014314420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106018901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39477 + ... + 42076.

Almost surely, 2^106018900 is an apocalyptic number.

106018900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106018900 is an abundant number, since it is smaller than the sum of its proper divisors (141742152).

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

106018900 is a wasteful number, since it uses less digits than its factorization.

106018900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81580 (or 81573 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 106018900 is about 10296.5479652163. The cubic root of 106018900 is about 473.2904753014.

The spelling of 106018900 in words is "one hundred six million, eighteen thousand, nine hundred".