102149557436160 has 1728 divisors, whose sum is σ = 433556574796800. Its totient is φ = 22785016725504.

The previous prime is 102149557436159. The next prime is 102149557436161. The reversal of 102149557436160 is 61634755941201.

102149557436160 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 9 + 5 + 574 + 3 + 6 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (102149557436159) and next prime (102149557436161).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 102149557436097 and 102149557436106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102149557436161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1766989336 + ... + 1767047144.

It is an arithmetic number, because the mean of its divisors is an integer number (250900795600).

Almost surely, 2^{102149557436160} is an apocalyptic number.

102149557436160 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 102149557436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216778287398400).

102149557436160 is an abundant number, since it is smaller than the sum of its proper divisors (331407017360640).

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

102149557436160 is a wasteful number, since it uses less digits than its factorization.

102149557436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57900 (or 57874 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 102149557436160 in words is "one hundred two trillion, one hundred forty-nine billion, five hundred fifty-seven million, four hundred thirty-six thousand, one hundred sixty".