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106480900 = 22524324763
BaseRepresentation
bin1100101100011…
…00010100000100
321102100210100001
412112030110010
5204224342100
614322131044
72432033641
oct626142404
9242323301
10106480900
1155118749
122b7b0a84
13190a2666
14101dadc8
159534d6a
hex658c504

106480900 has 36 divisors (see below), whose sum is σ = 236446672. Its totient is φ = 41600160.

The previous prime is 106480873. The next prime is 106480903. The reversal of 106480900 is 9084601.

It is a super-2 number, since 2×1064809002 = 22676364129620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106480903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8082 + ... + 16681.

Almost surely, 2106480900 is an apocalyptic number.

106480900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106480900 is an abundant number, since it is smaller than the sum of its proper divisors (129965772).

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

106480900 is a wasteful number, since it uses less digits than its factorization.

106480900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24820 (or 24813 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106480900 is about 10318.9582807568. The cubic root of 106480900 is about 473.9769671967.

The spelling of 106480900 in words is "one hundred six million, four hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 24763 49526 99052 123815 247630 495260 619075 1064809 1238150 2129618 2476300 4259236 5324045 10648090 21296180 26620225 53240450 106480900