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106451506425 = 352111091183781
BaseRepresentation
bin110001100100100000…
…0010001010011111001
3101011202210021211022010
41203021000101103321
53221003041201200
6120523025120133
710455652606065
oct1431100212371
9334683254263
10106451506425
11411671113a0
121876a489049
13a0662b1a74
14521bc00aa5
152b8080c150
hex18c90114f9

106451506425 has 48 divisors (see below), whose sum is σ = 193761437760. Its totient is φ = 51139296000.

The previous prime is 106451506393. The next prime is 106451506433. The reversal of 106451506425 is 524605154601.

It is not a de Polignac number, because 106451506425 - 25 = 106451506393 is a prime.

It is a super-2 number, since 2×1064515064252 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501966 + ... + 681815.

It is an arithmetic number, because the mean of its divisors is an integer number (4036696620).

Almost surely, 2106451506425 is an apocalyptic number.

106451506425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106451506425 is a deficient number, since it is larger than the sum of its proper divisors (87309931335).

106451506425 is a wasteful number, since it uses less digits than its factorization.

106451506425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183914 (or 1183909 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 106451506425 in words is "one hundred six billion, four hundred fifty-one million, five hundred six thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 109 165 275 327 545 825 1199 1635 2725 3597 5995 8175 17985 29975 89925 1183781 3551343 5918905 13021591 17756715 29594525 39064773 65107955 88783575 129032129 195323865 325539775 387096387 645160645 976619325 1419353419 1935481935 3225803225 4258060257 7096767095 9677409675 21290301285 35483835475 106451506425