101400509925 has 144 divisors (see below), whose sum is σ = 213876936000. Its totient is φ = 45274521600.

The previous prime is 101400509923. The next prime is 101400509927. The reversal of 101400509925 is 529905004101.

101400509925 is a `hidden beast` number, since 1 + 0 + 140 + 0 + 509 + 9 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (101400509923) and next prime (101400509927).

It is not a de Polignac number, because 101400509925 - 2¹ = 101400509923 is a prime.

It is a super-3 number, since 3×101400509925³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101400509925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400509923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14443066 + ... + 14450084.

It is an arithmetic number, because the mean of its divisors is an integer number (1485256500).

Almost surely, 2^101400509925 is an apocalyptic number.

101400509925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101400509925 is an abundant number, since it is smaller than the sum of its proper divisors (112476426075).

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

101400509925 is a wasteful number, since it uses less digits than its factorization.

101400509925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 101400509925 in words is "one hundred one billion, four hundred million, five hundred nine thousand, nine hundred twenty-five".