101337612 has 48 divisors (see below), whose sum is σ = 251203680. Its totient is φ = 31685632.

The previous prime is 101337601. The next prime is 101337617. The reversal of 101337612 is 216733101.

It is not an unprimeable number, because it can be changed into a prime (101337617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78718 + ... + 79994.

It is an arithmetic number, because the mean of its divisors is an integer number (5233410).

Almost surely, 2^101337612 is an apocalyptic number.

101337612 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 101337612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125601840).

101337612 is an abundant number, since it is smaller than the sum of its proper divisors (149866068).

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

101337612 is a wasteful number, since it uses less digits than its factorization.

101337612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 101337612 is about 10066.6584326677. The cubic root of 101337612 is about 466.2192721258.

The spelling of 101337612 in words is "one hundred one million, three hundred thirty-seven thousand, six hundred twelve".