106403590152 has 48 divisors (see below), whose sum is σ = 291824208000. Its totient is φ = 35018901216.

The previous prime is 106403590151. The next prime is 106403590201. The reversal of 106403590152 is 251095304601.

106403590152 is a `hidden beast` number, since 1 + 0 + 64 + 0 + 3 + 590 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×106403590152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106403590151) 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, 9347652 + ... + 9359027.

It is an arithmetic number, because the mean of its divisors is an integer number (6079671000).

Almost surely, 2^106403590152 is an apocalyptic number.

106403590152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106403590152 is an abundant number, since it is smaller than the sum of its proper divisors (185420617848).

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

106403590152 is a wasteful number, since it uses less digits than its factorization.

106403590152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18706770 (or 18706763 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 106403590152 its reverse (251095304601), we get a palindrome (357498894753).

The spelling of 106403590152 in words is "one hundred six billion, four hundred three million, five hundred ninety thousand, one hundred fifty-two".