102541661964 has 168 divisors, whose sum is σ = 309089382560. Its totient is φ = 29144696832.

The previous prime is 102541661951. The next prime is 102541661969. The reversal of 102541661964 is 469166145201.

102541661964 is a `hidden beast` number, since 1 + 0 + 25 + 4 + 1 + 6 + 619 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (102541661969) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3926502 + ... + 3952530.

Almost surely, 2^102541661964 is an apocalyptic number.

102541661964 is a gapful number since it is divisible by the number (14) 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 102541661964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154544691280).

102541661964 is an abundant number, since it is smaller than the sum of its proper divisors (206547720596).

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

102541661964 is a wasteful number, since it uses less digits than its factorization.

102541661964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26251 (or 26234 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 102541661964 in words is "one hundred two billion, five hundred forty-one million, six hundred sixty-one thousand, nine hundred sixty-four".