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106400023407 = 3243274935461
BaseRepresentation
bin110001100010111101…
…1111000001101101111
3101011122012102012212200
41203011323320031233
53220401401222112
6120513545432543
710454456163606
oct1430573701557
9334565365780
10106400023407
1141140048447
121875519b753
13a058727642
14521503ca3d
152b7b03ccdc
hex18c5ef836f

106400023407 has 12 divisors (see below), whose sum is σ = 157263084264. Its totient is φ = 69283735920.

The previous prime is 106400023363. The next prime is 106400023469. The reversal of 106400023407 is 704320004601.

106400023407 is a `hidden beast` number, since 10 + 640 + 0 + 0 + 2 + 3 + 4 + 0 + 7 = 666.

It is not a de Polignac number, because 106400023407 - 210 = 106400022383 is a prime.

It is a super-2 number, since 2×1064000234072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106400023307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137467344 + ... + 137468117.

It is an arithmetic number, because the mean of its divisors is an integer number (13105257022).

Almost surely, 2106400023407 is an apocalyptic number.

106400023407 is a deficient number, since it is larger than the sum of its proper divisors (50863060857).

106400023407 is a wasteful number, since it uses less digits than its factorization.

106400023407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274935510 (or 274935507 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 106400023407 in words is "one hundred six billion, four hundred million, twenty-three thousand, four hundred seven".

Divisors: 1 3 9 43 129 387 274935461 824806383 2474419149 11822224823 35466674469 106400023407