106693793021088 has 960 divisors, whose sum is σ = 401277930197760. Its totient is φ = 27048631615488.

The previous prime is 106693793021069. The next prime is 106693793021107. The reversal of 106693793021088 is 880120397396601.

106693793021088 is a `hidden beast` number, since 10 + 6 + 6 + 9 + 379 + 30 + 210 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106693793021069) and next prime (106693793021107).

It is a super-2 number, since 2×106693793021088² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1552711020 + ... + 1552779732.

It is an arithmetic number, because the mean of its divisors is an integer number (417997843956).

Almost surely, 2^{106693793021088} is an apocalyptic number.

106693793021088 is a gapful number since it is divisible by the number (18) 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 106693793021088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200638965098880).

106693793021088 is an abundant number, since it is smaller than the sum of its proper divisors (294584137176672).

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

106693793021088 is a wasteful number, since it uses less digits than its factorization.

106693793021088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69011 (or 68994 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 106693793021088 in words is "one hundred six trillion, six hundred ninety-three billion, seven hundred ninety-three million, twenty-one thousand, eighty-eight".