102299983632 has 1440 divisors, whose sum is σ = 413451537408. Its totient is φ = 23224320000.

The previous prime is 102299983631. The next prime is 102299983657. The reversal of 102299983632 is 236389992201.

102299983632 is a `hidden beast` number, since 102 + 2 + 99 + 98 + 363 + 2 = 666.

It is a super-2 number, since 2×102299983632² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (102299983631) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1677048882 + ... + 1677048942.

Almost surely, 2^102299983632 is an apocalyptic number.

102299983632 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 102299983632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206725768704).

102299983632 is an abundant number, since it is smaller than the sum of its proper divisors (311151553776).

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

102299983632 is a wasteful number, since it uses less digits than its factorization.

102299983632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 102299983632 in words is "one hundred two billion, two hundred ninety-nine million, nine hundred eighty-three thousand, six hundred thirty-two".