102400152 has 16 divisors (see below), whose sum is σ = 256000440. Its totient is φ = 34133376.

The previous prime is 102400121. The next prime is 102400153. The reversal of 102400152 is 251004201.

It is a super-2 number, since 2×102400152² = 20971582259246208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2133313 + ... + 2133360.

Almost surely, 2^102400152 is an apocalyptic number.

102400152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102400152 is an abundant number, since it is smaller than the sum of its proper divisors (153600288).

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

102400152 is a wasteful number, since it uses less digits than its factorization.

102400152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266682 (or 4266678 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 102400152 is about 10119.2960229455. The cubic root of 102400152 is about 467.8430695987.

Adding to 102400152 its reverse (251004201), we get a palindrome (353404353).

The spelling of 102400152 in words is "one hundred two million, four hundred thousand, one hundred fifty-two".