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100968900 = 22352336563
BaseRepresentation
bin1100000010010…
…10100111000100
321000222202021220
412001022213010
5201322001100
614004040340
72334135654
oct601124704
9230882256
10100968900
1151aa347a
12299930b0
1317bc2816
14d5a4364
158ce6aa0
hex604a9c4

100968900 has 36 divisors (see below), whose sum is σ = 292137552. Its totient is φ = 26924960.

The previous prime is 100968877. The next prime is 100968913. The reversal of 100968900 is 9869001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167982 + ... + 168581.

It is an arithmetic number, because the mean of its divisors is an integer number (8114932).

Almost surely, 2100968900 is an apocalyptic number.

100968900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100968900 is an abundant number, since it is smaller than the sum of its proper divisors (191168652).

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

100968900 is a wasteful number, since it uses less digits than its factorization.

100968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336580 (or 336573 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 100968900 is about 10048.3282191616. The cubic root of 100968900 is about 465.6531462048.

The spelling of 100968900 in words is "one hundred million, nine hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 336563 673126 1009689 1346252 1682815 2019378 3365630 4038756 5048445 6731260 8414075 10096890 16828150 20193780 25242225 33656300 50484450 100968900