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103155104 = 25131931421
BaseRepresentation
bin1100010011000…
…00010110100000
321012002211012102
412021200112200
5202401430404
614122545532
72361542513
oct611402640
9235084172
10103155104
1153256a58
122a6682a8
13184a9930
14d9b2d7a
1590c971e
hex62605a0

103155104 has 96 divisors (see below), whose sum is σ = 238210560. Its totient is φ = 43545600.

The previous prime is 103155103. The next prime is 103155113. The reversal of 103155104 is 401551301.

It is not an unprimeable number, because it can be changed into a prime (103155103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244814 + ... + 245234.

It is an arithmetic number, because the mean of its divisors is an integer number (2481360).

Almost surely, 2103155104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119105280).

103155104 is an abundant number, since it is smaller than the sum of its proper divisors (135055456).

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

103155104 is a wasteful number, since it uses less digits than its factorization.

103155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 103155104 is about 10156.5301161371. The cubic root of 103155104 is about 468.9899904362.

The spelling of 103155104 in words is "one hundred three million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 76 104 124 152 208 247 248 304 403 416 421 494 496 589 608 806 842 988 992 1178 1612 1684 1976 2356 3224 3368 3952 4712 5473 6448 6736 7657 7904 7999 9424 10946 12896 13051 13472 15314 15998 18848 21892 26102 30628 31996 43784 52204 61256 63992 87568 103987 104408 122512 127984 169663 175136 207974 208816 245024 247969 255968 339326 415948 417632 495938 678652 831896 991876 1357304 1663792 1983752 2714608 3223597 3327584 3967504 5429216 6447194 7935008 12894388 25788776 51577552 103155104