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106787901 = 31131472221
BaseRepresentation
bin1100101110101…
…11010000111101
321102221101110110
412113113100331
5204314203101
614332500233
72434452663
oct627272075
9242841413
10106787901
1155308370
122b91a679
131917c30c
141027ac33
159595cd6
hex65d743d

106787901 has 32 divisors (see below), whose sum is σ = 163823616. Its totient is φ = 61272000.

The previous prime is 106787893. The next prime is 106787911. The reversal of 106787901 is 109787601.

It is not a de Polignac number, because 106787901 - 23 = 106787893 is a prime.

It is a super-2 number, since 2×1067879012 = 22807311599971602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106787901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106787911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46971 + ... + 49191.

It is an arithmetic number, because the mean of its divisors is an integer number (5119488).

Almost surely, 2106787901 is an apocalyptic number.

106787901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106787901 is a deficient number, since it is larger than the sum of its proper divisors (57035715).

106787901 is a wasteful number, since it uses less digits than its factorization.

106787901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313.

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 106787901 is about 10333.8231550574. The cubic root of 106787901 is about 474.4320465660.

The spelling of 106787901 in words is "one hundred six million, seven hundred eighty-seven thousand, nine hundred one".

Divisors: 1 3 11 31 33 47 93 141 341 517 1023 1457 1551 2221 4371 6663 16027 24431 48081 68851 73293 104387 206553 313161 757361 1148257 2272083 3235997 3444771 9707991 35595967 106787901