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103042800 = 24335272947
BaseRepresentation
bin1100010010001…
…00111011110000
321011220010011000
412021010323300
5202334332200
614120322000
72360564220
oct611047360
9234803130
10103042800
115318a643
122a613300
131846a793
14d984080
1590a6300
hex6244ef0

103042800 has 480 divisors, whose sum is σ = 442828800. Its totient is φ = 22256640.

The previous prime is 103042789. The next prime is 103042811. The reversal of 103042800 is 8240301.

It is a happy number.

It is a Cunningham number, because it is equal to 101512-1.

It is an interprime number because it is at equal distance from previous prime (103042789) and next prime (103042811).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2192377 + ... + 2192423.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2103042800 is an apocalyptic number.

103042800 is a gapful number since it is divisible by the number (10) 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 103042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).

103042800 is an abundant number, since it is smaller than the sum of its proper divisors (339786000).

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

103042800 is a wasteful number, since it uses less digits than its factorization.

103042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103042800 is about 10150.9999507438. Note that the first 4 decimals coincide. The cubic root of 103042800 is about 468.8197336256.

The spelling of 103042800 in words is "one hundred three million, forty-two thousand, eight hundred".