101060161600 has 84 divisors (see below), whose sum is σ = 248781675664. Its totient is φ = 40406100480.

The previous prime is 101060161571. The next prime is 101060161627. The reversal of 101060161600 is 6161060101.

It is a super-2 number, since 2×101060161600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3934399 + ... + 3960001.

Almost surely, 2^101060161600 is an apocalyptic number.

101060161600 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 101060161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124390837832).

101060161600 is an abundant number, since it is smaller than the sum of its proper divisors (147721514064).

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

101060161600 is a wasteful number, since it uses less digits than its factorization.

101060161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28092 (or 28077 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 101060161600 in words is "one hundred one billion, sixty million, one hundred sixty-one thousand, six hundred".