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105478674 = 2373107479
BaseRepresentation
bin1100100100101…
…11101000010010
321100110212112120
412102113220102
5204000304144
614244435110
72420361000
oct622275022
9240425476
10105478674
11545a3764
122b3a8a96
1318b11422
1410019a70
1593d7e19
hex6497a12

105478674 has 64 divisors (see below), whose sum is σ = 248832000. Its totient is φ = 29792784.

The previous prime is 105478663. The next prime is 105478687. The reversal of 105478674 is 476874501.

It is a super-2 number, since 2×1054786742 = 22251501337596552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219967 + ... + 220445.

It is an arithmetic number, because the mean of its divisors is an integer number (3888000).

Almost surely, 2105478674 is an apocalyptic number.

105478674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105478674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

105478674 is an abundant number, since it is smaller than the sum of its proper divisors (143353326).

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

105478674 is a wasteful number, since it uses less digits than its factorization.

105478674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 105478674 is about 10270.2811061821. The cubic root of 105478674 is about 472.4852121572.

The spelling of 105478674 in words is "one hundred five million, four hundred seventy-eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 107 147 214 294 321 343 479 642 686 749 958 1029 1437 1498 2058 2247 2874 3353 4494 5243 6706 10059 10486 15729 20118 23471 31458 36701 46942 51253 70413 73402 102506 110103 140826 153759 164297 220206 307518 328594 358771 492891 717542 985782 1076313 2152626 2511397 5022794 7534191 15068382 17579779 35159558 52739337 105478674