100196712 has 288 divisors, whose sum is σ = 358525440. Its totient is φ = 24710400.

The previous prime is 100196693. The next prime is 100196749. The reversal of 100196712 is 217691001.

100196712 = 18³ + 19³ + ... + 141³.

It is a super-2 number, since 2×100196712² = 20078762191221888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1890478 + ... + 1890530.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^100196712 is an apocalyptic number.

100196712 is a gapful number since it is divisible by the number (12) 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 100196712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

100196712 is an abundant number, since it is smaller than the sum of its proper divisors (258328728).

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

100196712 is a wasteful number, since it uses less digits than its factorization.

100196712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 100196712 is about 10009.8307678002. The cubic root of 100196712 is about 464.4630360876.

The spelling of 100196712 in words is "one hundred million, one hundred ninety-six thousand, seven hundred twelve".