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106978446 = 23259100733
BaseRepresentation
bin1100110000001…
…01110010001110
321110022001211200
412120011302032
5204341302241
614340530330
72436205341
oct630056216
9243261750
10106978446
1155428543
122b9b09a6
1319217c73
14102ca458
1595d24b6
hex6605c8e

106978446 has 24 divisors (see below), whose sum is σ = 235717560. Its totient is φ = 35054736.

The previous prime is 106978429. The next prime is 106978447. The reversal of 106978446 is 644879601.

It is a super-2 number, since 2×1069784462 = 22888775817149832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106978447) 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, 49305 + ... + 51428.

It is an arithmetic number, because the mean of its divisors is an integer number (9821565).

Almost surely, 2106978446 is an apocalyptic number.

106978446 is an abundant number, since it is smaller than the sum of its proper divisors (128739114).

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

106978446 is a wasteful number, since it uses less digits than its factorization.

106978446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100800 (or 100797 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106978446 is about 10343.0385284016. The cubic root of 106978446 is about 474.7140602226.

The spelling of 106978446 in words is "one hundred six million, nine hundred seventy-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 100733 201466 302199 604398 906597 1813194 5943247 11886494 17829741 35659482 53489223 106978446