101606602326880 has 432 divisors, whose sum is σ = 290063200298256. Its totient is φ = 33518041159680.

The previous prime is 101606602326877. The next prime is 101606602326883. The reversal of 101606602326880 is 88623206606101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101606602326877) and next prime (101606602326883).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101606602326883) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1513298110 + ... + 1513365250.

It is an arithmetic number, because the mean of its divisors is an integer number (671442593283).

Almost surely, 2^{101606602326880} is an apocalyptic number.

101606602326880 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 101606602326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145031600149128).

101606602326880 is an abundant number, since it is smaller than the sum of its proper divisors (188456597971376).

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

101606602326880 is an equidigital number, since it uses as much as digits as its factorization.

101606602326880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67347 (or 67265 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 101606602326880 in words is "one hundred one trillion, six hundred six billion, six hundred two million, three hundred twenty-six thousand, eight hundred eighty".