155906100 has 288 divisors, whose sum is σ = 585795840. Its totient is φ = 34836480.

The previous prime is 155906087. The next prime is 155906111. The reversal of 155906100 is 1609551.

155906100 is a `hidden beast` number, since 1 + 559 + 0 + 6 + 100 = 666.

155906100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1379644 + ... + 1379756.

Almost surely, 2^155906100 is an apocalyptic number.

155906100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155906100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292897920).

155906100 is an abundant number, since it is smaller than the sum of its proper divisors (429889740).

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

155906100 is a wasteful number, since it uses less digits than its factorization.

155906100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

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

The square root of 155906100 is about 12486.2364225574. The cubic root of 155906100 is about 538.2132302004.

The spelling of 155906100 in words is "one hundred fifty-five million, nine hundred six thousand, one hundred".