101606153616 has 120 divisors (see below), whose sum is σ = 310928492160. Its totient is φ = 30718099200.

The previous prime is 101606153609. The next prime is 101606153651. The reversal of 101606153616 is 616351606101.

101606153616 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 615 + 36 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608290 + ... + 757118.

It is an arithmetic number, because the mean of its divisors is an integer number (2591070768).

Almost surely, 2^101606153616 is an apocalyptic number.

101606153616 is a gapful number since it is divisible by the number (16) 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 101606153616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155464246080).

101606153616 is an abundant number, since it is smaller than the sum of its proper divisors (209322338544).

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

101606153616 is a wasteful number, since it uses less digits than its factorization.

101606153616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149285 (or 149276 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 101606153616 its reverse (616351606101), we get a palindrome (717957759717).

The spelling of 101606153616 in words is "one hundred one billion, six hundred six million, one hundred fifty-three thousand, six hundred sixteen".