106870764 has 288 divisors, whose sum is σ = 360364032. Its totient is φ = 24192000.

The previous prime is 106870739. The next prime is 106870769. The reversal of 106870764 is 467078601.

It is a super-2 number, since 2×106870764² = 22842720395887392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106870769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2606584 + ... + 2606624.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 2^106870764 is an apocalyptic number.

106870764 is a gapful number since it is divisible by the number (14) 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 106870764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182016).

106870764 is an abundant number, since it is smaller than the sum of its proper divisors (253493268).

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

106870764 is a wasteful number, since it uses less digits than its factorization.

106870764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 106870764 is about 10337.8316875445. The cubic root of 106870764 is about 474.5547280630.

The spelling of 106870764 in words is "one hundred six million, eight hundred seventy thousand, seven hundred sixty-four".