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106790355 = 32572192549
BaseRepresentation
bin1100101110101…
…11110111010011
321102221111211100
412113113313103
5204314242410
614332515443
72434463100
oct627276723
9242844740
10106790355
115530a1a1
122b91bb83
1319180479
141027baa7
1595968c0
hex65d7dd3

106790355 has 72 divisors (see below), whose sum is σ = 226746000. Its totient is φ = 46230912.

The previous prime is 106790347. The next prime is 106790377. The reversal of 106790355 is 553097601.

It is a happy number.

It is not a de Polignac number, because 106790355 - 23 = 106790347 is a prime.

It is a super-2 number, since 2×1067903552 = 22808359842052050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40621 + ... + 43169.

It is an arithmetic number, because the mean of its divisors is an integer number (3149250).

Almost surely, 2106790355 is an apocalyptic number.

106790355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106790355 is an abundant number, since it is smaller than the sum of its proper divisors (119955645).

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

106790355 is a wasteful number, since it uses less digits than its factorization.

106790355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 106790355 is about 10333.9418906824. The cubic root of 106790355 is about 474.4356807085.

The spelling of 106790355 in words is "one hundred six million, seven hundred ninety thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 399 441 665 735 855 931 1197 1995 2205 2549 2793 4655 5985 7647 8379 12745 13965 17843 22941 38235 41895 48431 53529 89215 114705 124901 145293 160587 242155 267645 339017 374703 435879 624505 726465 802935 1017051 1124109 1695085 1873515 2179395 2373119 3051153 5085255 5620545 7119357 11865595 15255765 21358071 35596785 106790355