101349072 has 120 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 30378240.

The previous prime is 101349049. The next prime is 101349103. The reversal of 101349072 is 270943101.

101349072 is a `hidden beast` number, since 101 + 3 + 490 + 72 = 666.

It is a super-2 number, since 2×101349072² = 20543268790522368, which 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, 172363 + ... + 172949.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^101349072 is an apocalyptic number.

101349072 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 101349072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

101349072 is an abundant number, since it is smaller than the sum of its proper divisors (211443408).

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

101349072 is a wasteful number, since it uses less digits than its factorization.

101349072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 101349072 is about 10067.2276223397. The cubic root of 101349072 is about 466.2368459610.

The spelling of 101349072 in words is "one hundred one million, three hundred forty-nine thousand, seventy-two".