101938464 has 144 divisors (see below), whose sum is σ = 303390360. Its totient is φ = 32440320.

The previous prime is 101938457. The next prime is 101938471. The reversal of 101938464 is 464839101.

101938464 is a `hidden beast` number, since 1 + 0 + 193 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (101938457) and next prime (101938471).

It can be written as a sum of positive squares in 4 ways, for example, as 42771600 + 59166864 = 6540^2 + 7692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1050864 + ... + 1050960.

Almost surely, 2^101938464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101938464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151695180).

101938464 is an abundant number, since it is smaller than the sum of its proper divisors (201451896).

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

101938464 is a wasteful number, since it uses less digits than its factorization.

101938464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 101938464 is about 10096.4579927814. The cubic root of 101938464 is about 467.1388943195.

The spelling of 101938464 in words is "one hundred one million, nine hundred thirty-eight thousand, four hundred sixty-four".