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10103574096 = 24337111721051
BaseRepresentation
bin10010110100011100…
…00100111001010000
3222002010122202002000
421122032010321100
5131143003332341
64350322354000
7505242651150
oct113216047120
928063582060
1010103574096
114315227840
121b5b7bb900
13c502b2a15
146bbc04760
153e201b8b6
hex25a384e50

10103574096 has 480 divisors, whose sum is σ = 38445634560. Its totient is φ = 2467584000.

The previous prime is 10103574073. The next prime is 10103574109. The reversal of 10103574096 is 69047530101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10103574096.

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, 9612771 + ... + 9613821.

It is an arithmetic number, because the mean of its divisors is an integer number (80095072).

Almost surely, 210103574096 is an apocalyptic number.

10103574096 is a gapful number since it is divisible by the number (16) 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 10103574096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19222817280).

10103574096 is an abundant number, since it is smaller than the sum of its proper divisors (28342060464).

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

10103574096 is a wasteful number, since it uses less digits than its factorization.

10103574096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10103574096 in words is "ten billion, one hundred three million, five hundred seventy-four thousand, ninety-six".