153006104513100 has 72 divisors (see below), whose sum is σ = 442808645464080. Its totient is φ = 40791399015680.

The previous prime is 153006104513077. The next prime is 153006104513107. The reversal of 153006104513100 is 1315401600351.

It is a super-2 number, since 2×153006104513100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (153006104513107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62731647 + ... + 65125046.

It is an arithmetic number, because the mean of its divisors is an integer number (6150120075890).

Almost surely, 2^{153006104513100} is an apocalyptic number.

153006104513100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153006104513100 is an abundant number, since it is smaller than the sum of its proper divisors (289802540950980).

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

153006104513100 is a wasteful number, since it uses less digits than its factorization.

153006104513100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127860699 (or 127860692 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 153006104513100 in words is "one hundred fifty-three trillion, six billion, one hundred four million, five hundred thirteen thousand, one hundred".