102993433632 has 120 divisors (see below), whose sum is σ = 304202614716. Its totient is φ = 34183600128.

The previous prime is 102993433583. The next prime is 102993433639. The reversal of 102993433632 is 236334399201.

102993433632 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 9 + 3 + 4 + 3 + 3 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99883809936 + 3109623696 = 316044^2 + 55764^2 .

It is a super-2 number, since 2×102993433632² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102993433639) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 518668 + ... + 689204.

Almost surely, 2^102993433632 is an apocalyptic number.

102993433632 is a gapful number since it is divisible by the number (12) 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 102993433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152101307358).

102993433632 is an abundant number, since it is smaller than the sum of its proper divisors (201209181084).

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

102993433632 is a wasteful number, since it uses less digits than its factorization.

102993433632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170792 (or 170775 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 102993433632 in words is "one hundred two billion, nine hundred ninety-three million, four hundred thirty-three thousand, six hundred thirty-two".