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100972096 = 261577689
BaseRepresentation
bin1100000010010…
…11011001000000
321000222220200021
412001023121000
5201322101341
614004103224
72334151201
oct601133100
9230886607
10100972096
1151aa5915
1229994b14
1317bc4104
14d5a55a8
158ce79d1
hex604b640

100972096 has 14 divisors (see below), whose sum is σ = 200366630. Its totient is φ = 50486016.

The previous prime is 100972063. The next prime is 100972111. The reversal of 100972096 is 690279001.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 34386496 = 8160^2 + 5864^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 788781 + ... + 788908.

Almost surely, 2100972096 is an apocalyptic number.

100972096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100972096 is a deficient number, since it is larger than the sum of its proper divisors (99394534).

100972096 is an equidigital number, since it uses as much as digits as its factorization.

100972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577701 (or 1577691 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 100972096 is about 10048.4872493326. The cubic root of 100972096 is about 465.6580593076.

It can be divided in two parts, 100 and 972096, that added together give a square (972196 = 9862).

The spelling of 100972096 in words is "one hundred million, nine hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 1577689 3155378 6310756 12621512 25243024 50486048 100972096