90101376 has 192 divisors, whose sum is σ = 284294400. Its totient is φ = 28062720.

The previous prime is 90101357. The next prime is 90101387. The reversal of 90101376 is 67310109.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2906481 + ... + 2906511.

It is an arithmetic number, because the mean of its divisors is an integer number (1480700).

Almost surely, 2^90101376 is an apocalyptic number.

90101376 is a gapful number since it is divisible by the number (96) 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 90101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142147200).

90101376 is an abundant number, since it is smaller than the sum of its proper divisors (194193024).

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

90101376 is a wasteful number, since it uses less digits than its factorization.

90101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 90101376 is about 9492.1744611022. The cubic root of 90101376 is about 448.3086733287.

The spelling of 90101376 in words is "ninety million, one hundred one thousand, three hundred seventy-six".