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105468157 = 2971181283
BaseRepresentation
bin1100100100101…
…01000011111101
321100110100010001
412102111003331
5203444440112
614244314301
72420315224
oct622250375
9240410101
10105468157
1154596873
122b3a2991
1318b096c2
1410015cbb
1593d4c57
hex64950fd

105468157 has 16 divisors (see below), whose sum is σ = 111646080. Its totient is φ = 99489600.

The previous prime is 105468109. The next prime is 105468161. The reversal of 105468157 is 751864501.

It is a cyclic number.

It is not a de Polignac number, because 105468157 - 27 = 105468029 is a prime.

It is a super-2 number, since 2×1054681572 = 22247064281953298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105468557) 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, 372538 + ... + 372820.

It is an arithmetic number, because the mean of its divisors is an integer number (6977880).

Almost surely, 2105468157 is an apocalyptic number.

It is an amenable number.

105468157 is a deficient number, since it is larger than the sum of its proper divisors (6177923).

105468157 is a wasteful number, since it uses less digits than its factorization.

105468157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 105468157 is about 10269.7690821167. The cubic root of 105468157 is about 472.4695082177.

It can be divided in two parts, 105468 and 157, that added together give a square (105625 = 3252).

The spelling of 105468157 in words is "one hundred five million, four hundred sixty-eight thousand, one hundred fifty-seven".

Divisors: 1 29 71 181 283 2059 5249 8207 12851 20093 51223 372679 582697 1485467 3636833 105468157