106908902640 has 120 divisors (see below), whose sum is σ = 359914560720. Its totient is φ = 28439258112.

The previous prime is 106908902629. The next prime is 106908902663. The reversal of 106908902640 is 46209809601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106908902640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112959 + ... + 476001.

It is an arithmetic number, because the mean of its divisors is an integer number (2999288006).

Almost surely, 2^106908902640 is an apocalyptic number.

106908902640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106908902640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179957280360).

106908902640 is an abundant number, since it is smaller than the sum of its proper divisors (253005658080).

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

106908902640 is a wasteful number, since it uses less digits than its factorization.

106908902640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363471 (or 363462 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 106908902640 in words is "one hundred six billion, nine hundred eight million, nine hundred two thousand, six hundred forty".