106021152 has 36 divisors (see below), whose sum is σ = 301498470. Its totient is φ = 35340288.

The previous prime is 106021141. The next prime is 106021183. The reversal of 106021152 is 251120601.

106021152 is a `hidden beast` number, since 1 + 0 + 602 + 11 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104775696 + 1245456 = 10236^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106021152² = 22480969342814208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183777 + ... + 184352.

Almost surely, 2^106021152 is an apocalyptic number.

106021152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106021152 is an abundant number, since it is smaller than the sum of its proper divisors (195477318).

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

106021152 is a wasteful number, since it uses less digits than its factorization.

106021152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368145 (or 368134 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106021152 is about 10296.6573216748. The cubic root of 106021152 is about 473.2938264101.

Adding to 106021152 its reverse (251120601), we get a palindrome (357141753).

The spelling of 106021152 in words is "one hundred six million, twenty-one thousand, one hundred fifty-two".