10164171400 has 48 divisors (see below), whose sum is σ = 23715334800. Its totient is φ = 4051279680.

The previous prime is 10164171373. The next prime is 10164171427. The reversal of 10164171400 is 417146101.

10164171400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10164171373) and next prime (10164171427).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33190 + ... + 146389.

It is an arithmetic number, because the mean of its divisors is an integer number (494069475).

Almost surely, 2^10164171400 is an apocalyptic number.

10164171400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10164171400 is an abundant number, since it is smaller than the sum of its proper divisors (13551163400).

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

10164171400 is a wasteful number, since it uses less digits than its factorization.

10164171400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179878 (or 179869 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The spelling of 10164171400 in words is "ten billion, one hundred sixty-four million, one hundred seventy-one thousand, four hundred".