101907072 has 80 divisors (see below), whose sum is σ = 303304650. Its totient is φ = 33965568.

The previous prime is 101907059. The next prime is 101907083. The reversal of 101907072 is 270709101.

It can be written as a sum of positive squares in only one way, i.e., 66194496 + 35712576 = 8136^2 + 5976^2 .

It is a super-2 number, since 2×101907072² = 20770102647226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5454 + ... + 15282.

Almost surely, 2^101907072 is an apocalyptic number.

101907072 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 101907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151652325).

101907072 is an abundant number, since it is smaller than the sum of its proper divisors (201397578).

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

101907072 is an frugal number, since it uses more digits than its factorization.

101907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 101907072 is about 10094.9032684816. The cubic root of 101907072 is about 467.0909375125.

The spelling of 101907072 in words is "one hundred one million, nine hundred seven thousand, seventy-two".