102601665540 has 648 divisors, whose sum is σ = 378700515648. Its totient is φ = 22254186240.

The previous prime is 102601665469. The next prime is 102601665553. The reversal of 102601665540 is 45566106201.

102601665540 is a `hidden beast` number, since 1 + 0 + 2 + 601 + 6 + 6 + 5 + 5 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102601665495 and 102601665504.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1298755221 + ... + 1298755299.

It is an arithmetic number, because the mean of its divisors is an integer number (584414376).

Almost surely, 2^102601665540 is an apocalyptic number.

102601665540 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 102601665540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189350257824).

102601665540 is an abundant number, since it is smaller than the sum of its proper divisors (276098850108).

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

102601665540 is a wasteful number, since it uses less digits than its factorization.

102601665540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 102601665540 in words is "one hundred two billion, six hundred one million, six hundred sixty-five thousand, five hundred forty".