101464505600 has 54 divisors (see below), whose sum is σ = 251140521030. Its totient is φ = 40585799680.

The previous prime is 101464505567. The next prime is 101464505621. The reversal of 101464505600 is 6505464101.

It can be written as a sum of positive squares in 3 ways, for example, as 259081216 + 101205424384 = 16096^2 + 318128^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7920515 + ... + 7933314.

Almost surely, 2^101464505600 is an apocalyptic number.

101464505600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101464505600 is an abundant number, since it is smaller than the sum of its proper divisors (149676015430).

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

101464505600 is an equidigital number, since it uses as much as digits as its factorization.

101464505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15853855 (or 15853836 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 101464505600 its reverse (6505464101), we get a palindrome (107969969701).

The spelling of 101464505600 in words is "one hundred one billion, four hundred sixty-four million, five hundred five thousand, six hundred".