101450649600 has 936 divisors, whose sum is σ = 387877531392. Its totient is φ = 25303449600.

The previous prime is 101450649593. The next prime is 101450649623. The reversal of 101450649600 is 6946054101.

101450649600 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 6 + 49 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1514188767 + ... + 1514188833.

It is an arithmetic number, because the mean of its divisors is an integer number (414399072).

Almost surely, 2^101450649600 is an apocalyptic number.

101450649600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101450649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193938765696).

101450649600 is an abundant number, since it is smaller than the sum of its proper divisors (286426881792).

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

101450649600 is a wasteful number, since it uses less digits than its factorization.

101450649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 101450649600 in words is "one hundred one billion, four hundred fifty million, six hundred forty-nine thousand, six hundred".