31416992100 has 720 divisors, whose sum is σ = 118572410880. Its totient is φ = 7129036800.

The previous prime is 31416992039. The next prime is 31416992107. The reversal of 31416992100 is 129961413.

It is a happy number.

It is a super-2 number, since 2×31416992100² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31416992107) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 82028509 + ... + 82028891.

It is an arithmetic number, because the mean of its divisors is an integer number (164683904).

Almost surely, 2^31416992100 is an apocalyptic number.

31416992100 is a gapful number since it is divisible by the number (30) 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 31416992100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59286205440).

31416992100 is an abundant number, since it is smaller than the sum of its proper divisors (87155418780).

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

31416992100 is a wasteful number, since it uses less digits than its factorization.

31416992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 31416992100 in words is "thirty-one billion, four hundred sixteen million, nine hundred ninety-two thousand, one hundred".