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10106514160 = 245612071007
BaseRepresentation
bin10010110100110010…
…10010101011110000
3222002100012010002021
421122121102223300
5131144231423120
64350505401224
7505306644601
oct113231225360
928070163067
1010106514160
114316955746
121b60799214
13c50aa1cc2
146bc36bda8
153e23ecaaa
hex25a652af0

10106514160 has 40 divisors (see below), whose sum is σ = 23882864256. Its totient is φ = 3976331520.

The previous prime is 10106514137. The next prime is 10106514169. The reversal of 10106514160 is 6141560101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106514169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030624 + ... + 1040383.

Almost surely, 210106514160 is an apocalyptic number.

10106514160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106514160 is an abundant number, since it is smaller than the sum of its proper divisors (13776350096).

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

10106514160 is a wasteful number, since it uses less digits than its factorization.

10106514160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071081 (or 2071075 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 10106514160 in words is "ten billion, one hundred six million, five hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 2071007 4142014 8284028 10355035 16568056 20710070 33136112 41420140 82840280 126331427 165680560 252662854 505325708 631657135 1010651416 1263314270 2021302832 2526628540 5053257080 10106514160