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106449719096 = 23757717331901
BaseRepresentation
bin110001100100011100…
…1011100111100111000
3101011202122221000112202
41203020321130330320
53221002112002341
6120522522525332
710455631453160
oct1431071347470
9334678830482
10106449719096
1141166100566
1218769966848
13a065b07386
14521b8975a0
152b805a779b
hex18c8e5cf38

106449719096 has 64 divisors (see below), whose sum is σ = 228753996480. Its totient is φ = 45492019200.

The previous prime is 106449719081. The next prime is 106449719153. The reversal of 106449719096 is 690917944601.

It is a super-2 number, since 2×1064497190962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55995746 + ... + 55997646.

It is an arithmetic number, because the mean of its divisors is an integer number (3574281195).

Almost surely, 2106449719096 is an apocalyptic number.

It is an amenable number.

106449719096 is an abundant number, since it is smaller than the sum of its proper divisors (122304277384).

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

106449719096 is a wasteful number, since it uses less digits than its factorization.

106449719096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 56.

The spelling of 106449719096 in words is "one hundred six billion, four hundred forty-nine million, seven hundred nineteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 56 577 1154 1733 1901 2308 3466 3802 4039 4616 6932 7604 8078 12131 13307 13864 15208 16156 24262 26614 32312 48524 53228 97048 106456 999941 1096877 1999882 2193754 3294433 3999764 4387508 6588866 6999587 7678139 7999528 8775016 13177732 13999174 15356278 23061031 26355464 27998348 30712556 46122062 55996696 61425112 92244124 184488248 1900887841 3801775682 7603551364 13306214887 15207102728 26612429774 53224859548 106449719096