106761020 has 24 divisors (see below), whose sum is σ = 237387024. Its totient is φ = 40192256.

The previous prime is 106760987. The next prime is 106761023. The reversal of 106761020 is 20167601.

106761020 = 2498² + 2499² + ... + 2514².

It is a super-2 number, since 2×106761020² = 22795830782880800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106761023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156662 + ... + 157341.

It is an arithmetic number, because the mean of its divisors is an integer number (9891126).

Almost surely, 2^106761020 is an apocalyptic number.

106761020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106761020 is an abundant number, since it is smaller than the sum of its proper divisors (130626004).

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

106761020 is a wasteful number, since it uses less digits than its factorization.

106761020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314029 (or 314027 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106761020 is about 10332.5224413015. The cubic root of 106761020 is about 474.3922346961.

The spelling of 106761020 in words is "one hundred six million, seven hundred sixty-one thousand, twenty".