101070740 has 72 divisors (see below), whose sum is σ = 228265128. Its totient is φ = 37565440.

The previous prime is 101070737. The next prime is 101070751. The reversal of 101070740 is 47070101.

It can be written as a sum of positive squares in 4 ways, for example, as 1430416 + 99640324 = 1196^2 + 9982^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 433664 + ... + 433896.

It is an arithmetic number, because the mean of its divisors is an integer number (3170349).

Almost surely, 2^101070740 is an apocalyptic number.

101070740 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 101070740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114132564).

101070740 is an abundant number, since it is smaller than the sum of its proper divisors (127194388).

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

101070740 is a wasteful number, since it uses less digits than its factorization.

101070740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 101070740 is about 10053.3944516268. The cubic root of 101070740 is about 465.8096504406.

The spelling of 101070740 in words is "one hundred one million, seventy thousand, seven hundred forty".