106012470 has 64 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 27206400.

The previous prime is 106012469. The next prime is 106012471. The reversal of 106012470 is 74210601.

It is an interprime number because it is at equal distance from previous prime (106012469) and next prime (106012471).

It is a super-2 number, since 2×106012470² = 22477287591001800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106012471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96625 + ... + 97715.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^106012470 is an apocalyptic number.

106012470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106012470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

106012470 is an abundant number, since it is smaller than the sum of its proper divisors (158164170).

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

106012470 is a wasteful number, since it uses less digits than its factorization.

106012470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 106012470 is about 10296.2357199124. The cubic root of 106012470 is about 473.2809068210.

It can be divided in two parts, 1060 and 12470, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 106012470 in words is "one hundred six million, twelve thousand, four hundred seventy".