106264962 has 48 divisors (see below), whose sum is σ = 244138752. Its totient is φ = 33346080.

The previous prime is 106264957. The next prime is 106264969. The reversal of 106264962 is 269462601.

106264962 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 649 + 6 + 2 = 666.

It is a super-2 number, since 2×106264962² = 22584484297722888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106264969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18073 + ... + 23219.

It is an arithmetic number, because the mean of its divisors is an integer number (5086224).

Almost surely, 2^106264962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106264962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122069376).

106264962 is an abundant number, since it is smaller than the sum of its proper divisors (137873790).

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

106264962 is a wasteful number, since it uses less digits than its factorization.

106264962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106264962 is about 10308.4898021000. The cubic root of 106264962 is about 473.6563497493.

The spelling of 106264962 in words is "one hundred six million, two hundred sixty-four thousand, nine hundred sixty-two".