101920104 has 192 divisors, whose sum is σ = 342014400. Its totient is φ = 26956800.

The previous prime is 101920097. The next prime is 101920109. The reversal of 101920104 is 401029101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101920109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195364 + ... + 195884.

It is an arithmetic number, because the mean of its divisors is an integer number (1781325).

Almost surely, 2^101920104 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 101920104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

101920104 is an abundant number, since it is smaller than the sum of its proper divisors (240094296).

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

101920104 is a wasteful number, since it uses less digits than its factorization.

With its successor (101920105) it forms an eRAP, since the sums of their prime factors are consecutive (576 and 577).

101920104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101920104 is about 10095.5487220854. The cubic root of 101920104 is about 467.1108473824.

Adding to 101920104 its reverse (401029101), we get a palindrome (502949205).

The spelling of 101920104 in words is "one hundred one million, nine hundred twenty thousand, one hundred four".