101676733400 has 96 divisors (see below), whose sum is σ = 259920506880. Its totient is φ = 36682128000.

The previous prime is 101676733393. The next prime is 101676733421. The reversal of 101676733400 is 4337676101.

It is a super-2 number, since 2×101676733400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 97445 + ... + 461355.

It is an arithmetic number, because the mean of its divisors is an integer number (2707505280).

Almost surely, 2^101676733400 is an apocalyptic number.

101676733400 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 101676733400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129960253440).

101676733400 is an abundant number, since it is smaller than the sum of its proper divisors (158243773480).

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

101676733400 is a wasteful number, since it uses less digits than its factorization.

101676733400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364065 (or 364056 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The spelling of 101676733400 in words is "one hundred one billion, six hundred seventy-six million, seven hundred thirty-three thousand, four hundred".