101478720 has 112 divisors (see below), whose sum is σ = 368247168. Its totient is φ = 23193600.

The previous prime is 101478709. The next prime is 101478733. The reversal of 101478720 is 27874101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×101478720² = 20595861225676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831 + ... + 14270.

Almost surely, 2^101478720 is an apocalyptic number.

101478720 is a gapful number since it is divisible by the number (10) 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 101478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184123584).

101478720 is an abundant number, since it is smaller than the sum of its proper divisors (266768448).

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

101478720 is a wasteful number, since it uses less digits than its factorization.

101478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 101478720 is about 10073.6646757771. The cubic root of 101478720 is about 466.4355681160.

The spelling of 101478720 in words is "one hundred one million, four hundred seventy-eight thousand, seven hundred twenty".