100551906 has 192 divisors, whose sum is σ = 298142208. Its totient is φ = 23721984.

The previous prime is 100551901. The next prime is 100551947. The reversal of 100551906 is 609155001.

100551906 is a `hidden beast` number, since 100 + 551 + 9 + 0 + 6 = 666.

It is a super-2 number, since 2×100551906² = 20221371600465672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100551906.

It is not an unprimeable number, because it can be changed into a prime (100551901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 640380 + ... + 640536.

It is an arithmetic number, because the mean of its divisors is an integer number (1552824).

Almost surely, 2^100551906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100551906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149071104).

100551906 is an abundant number, since it is smaller than the sum of its proper divisors (197590302).

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

100551906 is a wasteful number, since it uses less digits than its factorization.

100551906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 100551906 is about 10027.5573296790. The cubic root of 100551906 is about 465.0112241481.

The spelling of 100551906 in words is "one hundred million, five hundred fifty-one thousand, nine hundred six".