102154081752 has 96 divisors (see below), whose sum is σ = 280953887760. Its totient is φ = 33527520000.

The previous prime is 102154081751. The next prime is 102154081763. The reversal of 102154081752 is 257180451201.

It is a happy number.

102154081752 is a `hidden beast` number, since 10 + 21 + 540 + 81 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102154081751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277427 + ... + 1355037.

Almost surely, 2^102154081752 is an apocalyptic number.

102154081752 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 102154081752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140476943880).

102154081752 is an abundant number, since it is smaller than the sum of its proper divisors (178799806008).

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

102154081752 is a wasteful number, since it uses less digits than its factorization.

102154081752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77905 (or 77898 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 102154081752 in words is "one hundred two billion, one hundred fifty-four million, eighty-one thousand, seven hundred fifty-two".