95406205112100 has 135 divisors (see below), whose sum is σ = 309272075305347. Its totient is φ = 25441420273920.

The previous prime is 95406205112059. The next prime is 95406205112117. The reversal of 95406205112100 is 121150260459.

The square root of 95406205112100 is 9767610.

It is a perfect power (a square), and thus also a powerful number.

95406205112100 is a `hidden beast` number, since 9 + 5 + 4 + 0 + 620 + 5 + 1 + 1 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14472287628516 + 80933917483584 = 3804246^2 + 8996328^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 879030636 + ... + 879139164.

Almost surely, 2^{95406205112100} is an apocalyptic number.

95406205112100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

95406205112100 is the 9767610-th square number.

It is an amenable number.

95406205112100 is an abundant number, since it is smaller than the sum of its proper divisors (213865870193247).

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

95406205112100 is an frugal number, since it uses more digits than its factorization.

95406205112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217084 (or 108539 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

95406205112100 divided by its sum of digits (36) gives a square (2650172364225 = 1627935²).

Adding to 95406205112100 its reverse (121150260459), we get a palindrome (95527355372559).

The spelling of 95406205112100 in words is "ninety-five trillion, four hundred six billion, two hundred five million, one hundred twelve thousand, one hundred".