101772240 has 160 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 25563648.

The previous prime is 101772233. The next prime is 101772269. The reversal of 101772240 is 42277101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101772240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568471 + ... + 568649.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^101772240 is an apocalyptic number.

101772240 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 101772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

101772240 is an abundant number, since it is smaller than the sum of its proper divisors (232492080).

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

101772240 is a wasteful number, since it uses less digits than its factorization.

101772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 101772240 is about 10088.2228365555. Note that the first 3 decimals coincide. The cubic root of 101772240 is about 466.8848458253.

The spelling of 101772240 in words is "one hundred one million, seven hundred seventy-two thousand, two hundred forty".