100610532648 has 256 divisors, whose sum is σ = 307061280000. Its totient is φ = 30400634880.

The previous prime is 100610532637. The next prime is 100610532689. The reversal of 100610532648 is 846235016001.

It is a happy number.

100610532648 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 0 + 5 + 3 + 2 + 648 = 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 63 ways as a sum of consecutive naturals, for example, 13445068 + ... + 13452548.

It is an arithmetic number, because the mean of its divisors is an integer number (1199458125).

Almost surely, 2^100610532648 is an apocalyptic number.

100610532648 is a gapful number since it is divisible by the number (18) 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 100610532648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153530640000).

100610532648 is an abundant number, since it is smaller than the sum of its proper divisors (206450747352).

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

100610532648 is a wasteful number, since it uses less digits than its factorization.

100610532648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7657 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 100610532648 its reverse (846235016001), we get a palindrome (946845548649).

The spelling of 100610532648 in words is "one hundred billion, six hundred ten million, five hundred thirty-two thousand, six hundred forty-eight".