107768952 has 24 divisors (see below), whose sum is σ = 291874440. Its totient is φ = 35922960.

The previous prime is 107768939. The next prime is 107768963. The reversal of 107768952 is 259867701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×107768952³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 107768898 and 107768907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 748324 + ... + 748467.

It is an arithmetic number, because the mean of its divisors is an integer number (12161435).

Almost surely, 2^107768952 is an apocalyptic number.

107768952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107768952 is an abundant number, since it is smaller than the sum of its proper divisors (184105488).

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

107768952 is a wasteful number, since it uses less digits than its factorization.

107768952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496803 (or 1496796 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 107768952 is about 10381.1825915933. The cubic root of 107768952 is about 475.8804751327.

The spelling of 107768952 in words is "one hundred seven million, seven hundred sixty-eight thousand, nine hundred fifty-two".