101920984 has 64 divisors (see below), whose sum is σ = 222510240. Its totient is φ = 43253760.

The previous prime is 101920979. The next prime is 101920991. The reversal of 101920984 is 489029101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 288552 + ... + 288904.

Almost surely, 2^101920984 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 101920984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111255120).

101920984 is an abundant number, since it is smaller than the sum of its proper divisors (120589256).

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

101920984 is a wasteful number, since it uses less digits than its factorization.

101920984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 101920984 is about 10095.5923055559. The cubic root of 101920984 is about 467.1121917569.

The spelling of 101920984 in words is "one hundred one million, nine hundred twenty thousand, nine hundred eighty-four".