106462052352 has 288 divisors, whose sum is σ = 320863032000. Its totient is φ = 34879832064.

The previous prime is 106462052329. The next prime is 106462052371. The reversal of 106462052352 is 253250264601.

106462052352 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 620 + 5 + 23 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106462052352² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237109024 + ... + 237109472.

It is an arithmetic number, because the mean of its divisors is an integer number (1114107750).

Almost surely, 2^106462052352 is an apocalyptic number.

106462052352 is a gapful number since it is divisible by the number (12) 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 106462052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160431516000).

106462052352 is an abundant number, since it is smaller than the sum of its proper divisors (214400979648).

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

106462052352 is an frugal number, since it uses more digits than its factorization.

106462052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 106462052352 in words is "one hundred six billion, four hundred sixty-two million, fifty-two thousand, three hundred fifty-two".