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103994100 = 223252717971
BaseRepresentation
bin1100011001011…
…01001011110100
321020200110002100
412030231023310
5203110302400
614152542100
72401635540
oct614551364
9236613070
10103994100
115377a341
122a9b1930
1318711792
14db50a20
1591e3100
hex632d2f4

103994100 has 216 divisors, whose sum is σ = 394849728. Its totient is φ = 22348800.

The previous prime is 103994071. The next prime is 103994113. The reversal of 103994100 is 1499301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106615 + ... + 107585.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2103994100 is an apocalyptic number.

103994100 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 103994100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197424864).

103994100 is an abundant number, since it is smaller than the sum of its proper divisors (290855628).

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

103994100 is a wasteful number, since it uses less digits than its factorization.

103994100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 103994100 is about 10197.7497517835. The cubic root of 103994100 is about 470.2580445076.

The spelling of 103994100 in words is "one hundred three million, nine hundred ninety-four thousand, one hundred".